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Finding the Fourth Proportional to 469.38, 647.80 and 314.12

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Solution

The fourth proportional to 469.38, 647.80 and 314.12 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 647.80 = 314.12 : x
  2. Step 2: Convert to fraction form
    469.38/647.80 = 314.12/x
  3. Step 3: Cross multiply
    469.38x = 647.80 × 314.12
  4. Step 4: Simplify right side
    469.38x = 203,486.94
  5. Step 5: Solve for x
    x = 203,486.94/469.38
  6. Step 6: Final answer
    x = 433.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.